A generalization of the Hyers-Ulam-Rassias stability of the Pexider equation

被引：48

作者：

Lee, YH ^{[1
]}

Jun, KW

机构：

[1] Kongju Natl Univ Educ, Dept Math Educ, Kongju 314060, South Korea

[2] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 246卷 / 02期

关键词：

Hyers-Ulam-Rassias stability; Jensen functional equation; Pexider equation;

D O I：

10.1006/jmaa.2000.6832

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：627 / 638

页数：12

共 16 条

[1]

Gajda Z, 1991, INT J MATH MATH SCI, V14, P431, DOI [DOI 10.1155/S016117129100056X, 10.1155/S016117129100056X]

[2] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS [J].

GAVRUTA, P .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) :431-436

[3]

Glowacki E., 1994, STABILITY MAPPINGS H, P111

[4]

Hyers D.H., 1998, Stability of Functional Equations in Several Variables

[5] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

[6] ON THE HYERS-ULAM STABILITY OF PSI-ADDITIVE MAPPINGS [J].

ISAC, G ;

RASSIAS, TM .

JOURNAL OF APPROXIMATION THEORY, 1993, 72 (02) :131-137

[7] On Hyers-Ulam-Rassias stability of the Pexider equation [J].

Jun, KW ;

Shin, DS ;

Kim, BD .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 239 (01) :20-29

[8] On the Hyers-Ulam-Rassias stability of approximately additive mappings [J].

Jung, SM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (01) :221-226

[9] A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation [J].

Lee, YH ;

Jun, KW .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 238 (01) :305-315

[10] On the stability of approximately additive mappings [J].

Lee, YH ;

Jun, KW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (05) :1361-1369

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